Combine the vodka, lime juice, and pineapple juice in a pitcher. Stir in the ginger beer.
Fill four copper mugs or cocktail glasses with ice. Pour mixture evenly into the four glasses. Top each glass with 2 ounces of the lime-flavored sparkling water. Garnish each glass with a slice of fresh pineapple, a slice of lime, and a sprig of fresh basil, if using. Serve immediately.